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  "name": "",
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  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Dimensionality Reduction via Principal Component Analysis (PCA)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "- analyze data to find patterns\n",
      "- find patterns to reduce dimensions with minimal loss of information"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Sections\n",
      "- The step by step approach\n",
      "- Using the `PCA()` function from the `matplotlib.mlab` library"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#The step by step approach"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "\n",
      "import numpy as np\n",
      "from matplotlib import pyplot as plt\n",
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "from matplotlib.patches import FancyArrowPatch\n",
      "from mpl_toolkits.mplot3d import proj3d\n",
      "\n",
      "np.random.seed(234234782384239784)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 228
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Generating some (3-dimensional) sample data for 2 classes"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mu_vec1 = np.array([0,0,0])\n",
      "cov_mat1 = np.array([[1,0,0],[0,1,0],[0,0,1]])\n",
      "class1_sample = np.random.multivariate_normal(mu_vec1, cov_mat1, 20)\n",
      "\n",
      "mu_vec2 = np.array([1,1,1])\n",
      "cov_mat2 = np.array([[1,0,0],[0,1,0],[0,0,1]])\n",
      "class2_sample = np.random.multivariate_normal(mu_vec2, cov_mat2, 20)\n",
      "    \n",
      "fig = plt.figure(figsize=(15,15))\n",
      "ax = fig.add_subplot(111, projection='3d')\n",
      "mpl.rcParams['legend.fontsize'] = 10   \n",
      "ax.plot(class1_sample[:,0], class1_sample[:,1], class1_sample[:,2], 'o', markersize=10, color='blue', alpha=0.5, label='class1')\n",
      "ax.plot(class2_sample[:,0], class2_sample[:,1], class2_sample[:,2], '^', markersize=10, alpha=0.5, color='red', label='class2')\n",
      "\n",
      "mpl.rcParams['legend.fontsize'] = 10\n",
      "plt.title('Samples for class 1 and class 2')\n",
      "ax.legend(loc = 'upper right')\n",
      "plt.draw()\n",
      "\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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4kucrgysiIv9hMEVEgeJ0dpSiKObsqGQy2dXFJhe6wWXNXCWTyQkDhBlcERH1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TBNhqFL/+WEVRcM011+Diiy/GNddck5vvYu/evbjqqqtw4MABlEolXHfddbjpppvmfO6mm27C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\necYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106c2a940>"
       ]
      }
     ],
     "prompt_number": 229
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Dropping the class labels"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "samples = np.concatenate((class1_sample, class2_sample), axis=0)\n",
      "fig = plt.figure(figsize=(15,15))\n",
      "ax = fig.add_subplot(111, projection='3d')\n",
      "ax.plot(samples[:,0], samples[:,1], samples[:,2], 'o', markersize=10, color='green', alpha=0.5)\n",
      "\n",
      "ax.set_xlabel('x_values')\n",
      "ax.set_ylabel('y_values')\n",
      "ax.set_zlabel('z_values')\n",
      "\n",
      "plt.title('All samples')\n",
      "\n",
      "plt.draw()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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vZX0cDK6WG4MpIolc14VpmrBtO/bsKE3T0Gg0sLa2VoknnPOIbn2u63plfWIT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ex/bj9Sr6WwbfU2fPj/+fCK/46kK5ZKJVeHK2oURcHMuRkImwQIeOO6MtkMqmurEAQBM0dnoCiK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SxlqtNuFcWWVJOp1OLOVnYZGEe4AVT0NDQ1yzJHQPDAaDfe6BrOClyZwN5ulaqKqKbreLVqsl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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1053e6710>"
       ]
      }
     ],
     "prompt_number": 230
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Calculate the Covariance matrix"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$ \\Sigma_i = \\Bigg[ \n",
      "\\begin{array}{cc}\n",
      "\\sigma_{11}^2 & \\sigma_{12}^2 & \\sigma_{13}^2\\\\\n",
      "\\sigma_{21}^2 & \\sigma_{22}^2 & \\sigma_{23}^2\\\\\n",
      "\\sigma_{31}^2 & \\sigma_{32}^2 & \\sigma_{33}^2\\\\\n",
      "\\end{array} \\Bigg]$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cov_mat = np.cov([samples[:,0],samples[:,1],samples[:,2]])\n",
      "print('Covariance Matrix:\\n', cov_mat)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Covariance Matrix:\n",
        " [[ 1.25425468  0.1824987   0.18482315]\n",
        " [ 0.1824987   0.97253923  0.07018075]\n",
        " [ 0.18482315  0.07018075  0.91375323]]\n"
       ]
      }
     ],
     "prompt_number": 231
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "##Calculating Eigenvectors and Eigenvalues of the Covariance matrix"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "eig_val, eig_vec = np.linalg.eig(cov_mat)\n",
      "for i in range(len(eig_val)):\n",
      "    eigv = eig_vec[:,i].reshape(1,3).T\n",
      "    print('Eigenvector {}: \\n{}'.format(i+1, eigv))\n",
      "    print('Eigenvalue {}: {}'.format(i+1, eig_val[i]))\n",
      "    print(40 * '-')\n",
      "\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Eigenvector 1: \n",
        "[[-0.84190486]\n",
        " [-0.39978877]\n",
        " [-0.36244329]]\n",
        "Eigenvalue 1: 1.4204834860846778\n",
        "----------------------------------------\n",
        "Eigenvector 2: \n",
        "[[-0.44565232]\n",
        " [ 0.13637858]\n",
        " [ 0.88475697]]\n",
        "Eigenvalue 2: 0.8314755900749454\n",
        "----------------------------------------\n",
        "Eigenvector 3: \n",
        "[[ 0.30428639]\n",
        " [-0.90640489]\n",
        " [ 0.29298458]]\n",
        "Eigenvalue 3: 0.888588059693973\n",
        "----------------------------------------\n"
       ]
      }
     ],
     "prompt_number": 232
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Checking the Eigenvector and Eigenvalue calculation\n",
      "\n",
      "We expect $ \\Sigma\\vec{v} =  \\lambda\\vec{v} $  \n",
      "where  \n",
      "$ \\Sigma = Covariance \\; matrix, \\; \\vec{v} = \\; Eigenvector, \\; \\lambda = \\; Eigenvalue$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for i in range(len(eig_val)):\n",
      "    eigv = eig_vec[:,i].reshape(1,3).T\n",
      "    print('{}\\n = \\n{}'.format(cov_mat.dot(eigv), eig_val[i] * eigv))\n",
      "    np.testing.assert_array_almost_equal(cov_mat.dot(eigv), eig_val[i] * eigv, \n",
      "                                         decimal=6, err_msg='', verbose=True)\n",
      "    print(40 * '-')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[[-1.19591196]\n",
        " [-0.56789334]\n",
        " [-0.51484471]]\n",
        " = \n",
        "[[-1.19591196]\n",
        " [-0.56789334]\n",
        " [-0.51484471]]\n",
        "----------------------------------------\n",
        "[[-0.37054903]\n",
        " [ 0.11339546]\n",
        " [ 0.73565382]]\n",
        " = \n",
        "[[-0.37054903]\n",
        " [ 0.11339546]\n",
        " [ 0.73565382]]\n",
        "----------------------------------------\n",
        "[[ 0.27038526]\n",
        " [-0.80542056]\n",
        " [ 0.2603426 ]]\n",
        " = \n",
        "[[ 0.27038526]\n",
        " [-0.80542056]\n",
        " [ 0.2603426 ]]\n",
        "----------------------------------------\n"
       ]
      }
     ],
     "prompt_number": 233
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Visualizing the Eigenvectors"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#### Calculating the mean for every dimension to center the eigenvectors"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mean_x = np.mean(samples[:,0])\n",
      "mean_y = np.mean(samples[:,1])\n",
      "mean_z = np.mean(samples[:,2])\n",
      "\n",
      "class Arrow3D(FancyArrowPatch):\n",
      "    def __init__(self, xs, ys, zs, *args, **kwargs):\n",
      "        FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n",
      "        self._verts3d = xs, ys, zs\n",
      "\n",
      "    def draw(self, renderer):\n",
      "        xs3d, ys3d, zs3d = self._verts3d\n",
      "        xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
      "        self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n",
      "        FancyArrowPatch.draw(self, renderer)\n",
      "\n",
      "fig = plt.figure(figsize=(15,15))\n",
      "ax = fig.add_subplot(111, projection='3d')\n",
      "\n",
      "ax.plot(samples[:,0], samples[:,1], samples[:,2], 'o', markersize=10, color='green', alpha=0.2)\n",
      "ax.plot([mean_x], [mean_y], [mean_z], 'o', markersize=10, color='red', alpha=0.5)\n",
      "for v in eig_vec:\n",
      "    #ax.plot([mean_x, v[0]], [mean_y, v[1]], [mean_z, v[2]], color='red', alpha=0.8, lw=3)\n",
      "    a = Arrow3D([mean_x, v[0]], [mean_y, v[1]], [mean_z, v[2]], mutation_scale=20, lw=3, arrowstyle=\"-|>\", color=\"r\")\n",
      "    ax.add_artist(a)\n",
      "ax.set_xlabel('x_values')\n",
      "ax.set_ylabel('y_values')\n",
      "ax.set_zlabel('z_values')\n",
      "\n",
      "plt.title('Eigenvectors')\n",
      "\n",
      "plt.draw()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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zcs4Vf4coKQZTRApZZHZUuMTNtm1pi+88noanXdanAgZMlEScdtaapvl/XtTM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\n4pLLa88UkM1NYTKZ4MSJE6jX61hbWytV1iKKKHc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NJQw0TYNpmhBFEfl8PvBz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QAAAg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\nFaPrrgMiLMA4+x+oFHA4HNr9M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XgRSuSm4RhYMeWk2+2i2+0mtWsAgA0bNuBb3/rWmp8f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\nREREROpBYUpERERERKQe/h/cA6w40gKpXQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106c30d68>"
       ]
      }
     ],
     "prompt_number": 234
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "##Choosing the components of the new feature vector\n",
      "- eigenvector with the highest eigenvalue is the principal component of the data set\n",
      "- since it is the one that has the most significant relationship with respect to it dimensions\n",
      "- usually one orders the eigenvectors by their eigenvalue from high to low and keep the $k$ vectors with the highest eigenvalues, where $k$ will then represent the dimensions of the transformed data set. \n",
      "- Let's assume, we want to reduce the 3D dataset to a 2D dataset, then we can just keep all vectors but the one with the lowest eigenvalue.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import operator\n",
      "\n",
      "max_index, max_eig_val = max(enumerate(eig_val), key=operator.itemgetter(1))\n",
      "print('max. eigenvalue:', max_eig_val)\n",
      "print('max. eigenvector:\\n',  eig_vec[:,max_index].reshape(1,3).T)\n",
      "\n",
      "min_index, min_eig_val = min(enumerate(eig_val), key=operator.itemgetter(1))\n",
      "print('\\nmin. eigenvalue:', min_eig_val)\n",
      "print('min. eigenvector:\\n',  eig_vec[:,min_index].reshape(1,3).T)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "max. eigenvalue: 1.42048348608\n",
        "max. eigenvector:\n",
        " [[-0.84190486]\n",
        " [-0.39978877]\n",
        " [-0.36244329]]\n",
        "\n",
        "min. eigenvalue: 0.831475590075\n",
        "min. eigenvector:\n",
        " [[-0.44565232]\n",
        " [ 0.13637858]\n",
        " [ 0.88475697]]\n"
       ]
      }
     ],
     "prompt_number": 235
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Instead of ordering the eigenvectors from highest to lowest eigenvalue and drop the last column, I chose a slightly different approach since I found the implementation easier since we only want to drop 1 eigenvector. If we want to drop more then one eigenvector, we can either repeat this step, or we can order the eigenvectors and keep the $k$ eigenvectors with the highest eigenvalues. Both approaches are equivalent in terms of the PCA result."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Form a feature vector (a matrix of the eigenvectors) for all but the lowest eigenvalue, where each eigenvector shall represent 1 column in the matrix"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "feature_vect = np.zeros(shape=(eig_vec.shape[0], eig_vec.shape[1]-1))\n",
      "\n",
      "index = 0\n",
      "for i in range(eig_vec.shape[0]):\n",
      "    if i != min_index:\n",
      "        feature_vect[:,index] = eig_vec[:,i]\n",
      "        index += 1\n",
      "print('Feature vector matrix:\\n', feature_vect)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Feature vector matrix:\n",
        " [[-0.84190486  0.30428639]\n",
        " [-0.39978877 -0.90640489]\n",
        " [-0.36244329  0.29298458]]\n"
       ]
      }
     ],
     "prompt_number": 236
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Transforming the dataset"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 1) Subtract the mean\n",
      "- the adjusted dataset will have column means 0 afterwards"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "adjusted_samples = np.zeros(shape=(samples.shape[0], samples.shape[1]))\n",
      "for i in range(samples.shape[1]):\n",
      "        adjusted_samples[:,i] = samples[:,i] - np.mean(samples[:,i])\n",
      "print('Adjusted dataset:\\n', adjusted_samples)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Adjusted dataset:\n",
        " [[-1.19886766 -1.73953131 -0.19488401]\n",
        " [ 1.45386838  0.73275671  0.32093193]\n",
        " [-0.01957561 -0.09765938  0.22728493]\n",
        " [-1.99330532 -0.05029589 -0.57520179]\n",
        " [-1.68827921 -0.37632299  0.07286815]\n",
        " [ 0.15065018 -0.10509763  0.91822244]\n",
        " [ 1.08371188 -0.16400839 -0.47114851]\n",
        " [-0.74453555 -0.21712991  0.14275885]\n",
        " [ 0.25924434  1.10678761 -0.77757694]\n",
        " [-0.48335312 -1.14150187 -0.81189972]\n",
        " [ 0.78745097 -0.44348085 -0.17903902]\n",
        " [-1.06549359 -0.85623312 -0.14001637]\n",
        " [-1.88412396 -0.75034527 -1.61353791]\n",
        " [ 1.80289763 -0.32872896 -1.34718012]\n",
        " [-1.11919027  1.03614966 -0.38072179]\n",
        " [-0.06319857 -0.82098599 -0.29419998]\n",
        " [-0.77316424 -0.71454299 -0.04668327]\n",
        " [-1.23482567 -0.71635901 -0.45113143]\n",
        " [-0.14494314  0.86172721 -2.19084525]\n",
        " [-0.7331331  -1.2847809   0.45645997]\n",
        " [ 1.02247512 -1.1796506  -0.32712619]\n",
        " [-0.47221204  1.70749592  1.87889725]\n",
        " [ 0.69107197  0.10923993  0.84247461]\n",
        " [-1.09217118 -0.25230097 -0.7538699 ]\n",
        " [ 1.25963423  1.5842181   1.45858013]\n",
        " [ 0.62146264 -0.407502    0.84057653]\n",
        " [-0.37287386 -1.4121997   0.6085398 ]\n",
        " [ 1.80574638 -2.04777022  0.74619908]\n",
        " [ 0.55664668  0.57333998  0.66067394]\n",
        " [ 1.40599911  0.96616486  1.06593341]\n",
        " [-1.20289685  0.66967245 -1.47352242]\n",
        " [-0.43883072  1.61911124 -1.2238501 ]\n",
        " [-0.46625215  1.36759124  1.70634845]\n",
        " [-1.80232302 -0.63977628  1.19639681]\n",
        " [ 0.04416145  0.52093637  0.60521467]\n",
        " [ 0.67303936  1.38593914 -1.12187965]\n",
        " [ 1.35000147 -0.43736431  1.20218217]\n",
        " [ 1.1090882   0.3067161  -0.16098353]\n",
        " [ 1.97376686  0.05611339 -1.04407449]\n",
        " [ 0.942632    1.57960861  0.62882923]]\n"
       ]
      }
     ],
     "prompt_number": 237
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print(feature_vect.shape)\n",
      "print(adjusted_samples.shape)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(3, 2)\n",
        "(40, 3)\n"
       ]
      }
     ],
     "prompt_number": 238
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "transformed_samples = adjusted_samples.dot(feature_vect)\n",
      "print('Transformed samples:\\n', transformed_samples )"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Transformed samples:\n",
        " [[ 1.89836163  1.92732261]\n",
        " [ 1.4352144  -1.39744334]\n",
        " [ 0.77864833 -0.33141983]\n",
        " [ 0.74272264 -1.36650875]\n",
        " [ 1.93239755  0.36948181]\n",
        " [-0.29884906  0.19585348]\n",
        " [-0.67094083 -0.10847891]\n",
        " [ 0.34593766 -1.00750695]\n",
        " [ 1.24744019 -0.04827783]\n",
        " [ 1.68737995  1.85307189]\n",
        " [ 0.08255139 -0.60450288]\n",
        " [ 1.87433854  0.25488856]\n",
        " [ 1.1225675   0.33459471]\n",
        " [ 0.58389391  0.18371489]\n",
        " [ 2.1825471  -0.54859686]\n",
        " [ 1.05489597 -0.90791139]\n",
        " [ 0.71873966  0.90507714]\n",
        " [ 1.56824565  0.10443086]\n",
        " [ 0.34280323  0.28184558]\n",
        " [-0.39431995 -1.32622128]\n",
        " [-1.68008715 -0.28825022]\n",
        " [ 0.56007219 -1.19383425]\n",
        " [ 1.63134481  0.27655449]\n",
        " [-2.22478231  1.25086132]\n",
        " [-0.03568121 -2.11361756]\n",
        " [-3.84054448 -0.14256683]\n",
        " [-0.98957227 -0.13792958]\n",
        " [-0.8901378   1.63412296]\n",
        " [-0.47218875  1.67083039]\n",
        " [-0.17106862  2.2154261 ]\n",
        " [-2.1375134   0.17642789]\n",
        " [-0.86238945  0.51361933]\n",
        " [ 0.00986093 -1.08485621]\n",
        " [-3.28114387 -0.42998085]\n",
        " [-0.57046358  0.27167903]\n",
        " [ 0.20780669 -0.72382118]\n",
        " [-0.93290163  1.21991756]\n",
        " [-0.12725036 -0.41836153]\n",
        " [-2.13011074 -0.4031446 ]\n",
        " [-0.29782447 -1.05648979]]\n"
       ]
      }
     ],
     "prompt_number": 209
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(transformed_samples[:,0], transformed_samples[:,1], 'o', markersize=7, color='green', alpha=0.5)\n",
      "\n",
      "plt.xlabel('x_values')\n",
      "plt.ylabel('y_values')\n",
      "plt.xlim([-4,6])\n",
      "plt.ylim([-4,6])\n",
      "\n",
      "plt.title('Transformed samples')\n",
      "\n",
      "plt.draw()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Gj48PtmzZ0uoXHzFiBOrq6vDDDz/g5MmTOHnyJMaMGdPq5yVyVKbmQBSWFjb5u4qrFQgL\n4NBpspxZAbB79254enpix44dCAwMRHZ2NtauXWvr2qgNysjKwKZPN2H9J+ux6dNNyMjKULokVTE1\nB2LcoHEcHktWZdYooJqaGgDAjh07MGnSJHh5eUGj0di0MFK3loxGaer6dqouFdFX2YlZLyYqBqm6\nVLiG3A6C6uxqjOp3q5Hfe3gvdufvRvtu7W9d++/Hxp9azqwzgPHjx6Nfv344fvw4Hn74Yfz222/w\n8PCwdW2kUvUNeUG3AhT7FaOgWwFSdanNrtPDNX6a19wciJjhMRjlPwpdrnThJ39qNbNHAV2/fh1e\nXl5wdnZGeXk5bty4AT8/P1vXx1FAKrTp000tGo2y/pP1KPYrbvJ3Xa50QWJ8olXrdGR7D+/F2byz\nCAsIYyNPLWK1UUDl5eXYtGkT5s2bBwC4dOkS/ve//7W+QnJILV2szdT1bXZiNhQzPAaJ8Yls/Mmm\nzAqAmTNnws3NDUeOHAEA9OjRAy+88IJNCyP1amlDzjV+iNTFrADIzs7GkiVL4ObmBgDo0KGDTYsi\ndWtpQ841fojUxawAcHd3R2VlpWE7Ozsb7u7uJh5BbVlrGnJ2YhKph1mdwLt370ZSUhLOnDmD2NhY\nHD58GCkpKYiOjrZ9gewEVi12VBKplzltp9mjgAoLC3Hs2DEAwIMPPggfH5/WV2gGBgARkeWsFgAH\nDx5s8GT1k8AeeughK5RpmiwB4EjL/DpSrUSysloAxMXFGRr9qqoqpKenIyoqCvv377dOpaYKlCAA\nHGmZX0eqlUhm5rSdZi0FsWPHjgbbeXl5WLhwYcsrowZMzZDFYaiqYXWkWonItBYtB+3v74+zZ7n8\nrLW0dGKVEhypViIyzawzgMTE21P065dvjoqKsllRsjE1sWpEwAg7V2OaI9VKRKaZ1QeQkpJi+N7F\nxQWBgYEYMcI+/9ll6QNoagVINU6ScqRaiWRm1WGgSpEhAAA0XuZXxZOkHKlWIlm1OgDuu+8+k0/+\n448/trw6M8kSAIBjTaxypFotwSGu1Fa0OgBycnJMPjgwMLAldVlEpgAgZXGIK7UlvAREZIGW3ueA\nSI2sdj+Ao0ePYvDgwejQoQNcXV3h5OQET09PqxRJpBYc4kqyMSsAFixYgK1bt6JPnz6oqqrC+++/\nj/nz59u6NiK74g1rSDZmTwQLDQ1FbW0tnJ2dMXPmTKSlpdmyLiK74w1rSDZmTQTr0KEDbt68iYiI\nCDz77LPw8/PjdXlqc/qG9EX01eiGQ1z7sfGntsusTuDc3Fz4+vpCr9dj3bp1KC0txfz58xESEmL7\nAtkJTHbWVoe4klysNgro888/R1xcnCJ3AWMAEBFZzmoBMGPGDOzfvx8jR47E1KlTMWbMGLi4mHX1\nqNUYAOrFSVNE6mXVeQB6vR67du3Ctm3bcOjQIcTGxuL999+3SqGmMADUiZOmiNTNavcDAAA3NzeM\nHTsWTk5OqKiowJdffmmXACB14n0BiByfWQGwc+dObNu2DQcOHIBWq8XcuXPxn//8x9a1kYo1N2kq\nBgwAW+GlN7IWswJgy5YtmDp1Kt5++214eHjYuiZyALwvQEP2apSbuvSWqktF9FVeeiPLWWUtoKFD\nh+Lo0aPWqKcR9gGok6PcF8AeDbO1+kPMqZXrFZG5rNoHYEpVVZU1noYciCWTppS6ZGGvT8vW6A8x\np9aMrAwcOH4AZZ5lcIITevfuDZ8ePgB46Y1axj5jOalNihkeAxwGzuadxYiAEUYbf3MaYVuEhL06\nqq3RH9JcrQHdApByIAUV91SgquOtD1ynzp1CUFEQevfvLe2lN2odBoDKOFoHX8zwGJMNnDmNsK0+\nqZvTMFvjeFujP6S5WjPyM+Ae6o7e13vjVM4pOHd2hnNvZ2QVZKFmbw1mjZ3Fyz9kMbMWg9u4cSOK\niopsXYv06hvCgm4FKPYrRkG3AqTqUrH38F6lS2sxc5ZYNhUSrXnvza3uaa3j3dpF5DKyMnD0xFEc\n+/kY0n9OR+H1wka11h9Hn84+CPIJQnXZrW1NOw28O3iz8acWMSsArl69isGDB2PKlClIS0tr1LGQ\nmpra4gLS0tLQr18/hIaGYvXq1S1+nrbAVg2hksxZYtlW6/A31zBb63j3DemL6LBoVFytAHDrvZnb\nGV4fQl0HdkX5b+Wo6FiBUzmn8MuvvzSo9c7j2Pue3gj2DEa7snboqe+JRx56xOxaie5kVgAkJSUh\nMzMTs2bNQkpKCkJDQ/H8888jOzsbgOl7B5tSW1uLBQsWIC0tDWfOnMHHH3+Ms2flvfFGW7whiTmf\njm21Dn9zDbM1j3fM8BiM8h+FLle6WDQapz6EfHr4IKhbEPQFejh3dsa5C+fgWeNpeJ67j2Pve3rj\n/nb3469D/spP/9RiZt8PwMnJCX5+fujWrRucnZ1RVFSESZMmYfHixS1+8fT0dISEhCAwMBCurq6I\nj4/H9u3bW/x8jq4t3pDEnE/HtlyH31TDbO3jHTM8BonxiRbVfGcI9e7fGyHtQ9Auvx36+fRDe6/2\nht+15iyDyBizOoE3bNiA1NRUdOnSBXPmzMErr7wCV1dX1NXVITQ0FGvXrm3Ri1+8eBEBAQGGbX9/\nf3z33Xcteq62ICYqpsmx9Y6+Jn1zo4VsvQ6/sY5qWx5vczuX7w6h3v17ozdujeoJ828YQuaMuiKy\nhFkBcP36dXzxxRfo1atXg587OTnh66+/bvGLazSaFj+2LWpLNyRpqgE09T6UaNxsdbwtGdVkaQg1\nN+qKyBJmBcCqVauM/i48PLzFL96zZ0/k5eUZtvPy8uDv799ov5UrVwIACq8Xwvl3zggKD3KIIZIt\noeZPeeZ+qm3psE4lGjdbHG9L5h+0pdAnZel0Ouh0OoseY5WlIFqqpqYGffv2xb59+9CjRw888MAD\n+PjjjxEWdvvUt346M5cfVpYlx1/25QrWf7IexX7FTf6uy5UuSIxPbPRz3oWMrM1uS0G0lIuLC954\n4w2MHj0atbW1mD17doPG/05cflhZlhx/2VcKbcnEMF7aISUoPhN47NixGDt2bLP7yd6omMtWM4kt\nOf6yrxTaVjvzqe0xexio0triEElrs+VMYkuOvy2HddpLRlYGNn26Ces/WY9Nn25CRlaG2Y/lkE1y\nFA4TAG2hUbE1W84ktuT4O3oDaI0gbenEMCJ7UrQT2Bx3dmTsPby34WiJVvzHUvOiay2trSWdj5aw\n9Phbo2NTib+T7J3Y1DZY9abwSrn7TVirUVHriKLW1GaPhsueo1WU+jvZOkiJ7EH1o4BawhqjJdQ8\noqg1tdmj89Geo1WU+jvJ3olN8nCYPgBrUvOia62pzdGvvd9Nqb+To/c3taYDm+TicGcA1qDmT3it\nrU3NM4kt1dyxsFX/gCPPzuVN48kSDtcHYA1qvqG5mmuzN1PHov4WibbsH3DE2bnswKZ65rSdUl4C\nUvOlEjXXZm+mjoU9bp7TkuWdlabmy5ukPlJeAgLUfalEzbXZm7Fj0VRDV3ipEL/88guyjmchIz9D\nVUN77UXNlzdJfaS8BESO7+5LHYWXCvHDmR8g/ASCPYPR+57eqhnaa0+8hEj1eAmI2qy7R+r88ssv\n0HTWGBp/wPHvp9wSvIRIlmAAkEO6u6GrKq1CkE+QofGvJ+O1by5DQebiJSByaPUjdTIvZKLL0C6N\nfm/L0S9qXk6EqE0uBUHUFHtf+1bzciJEAAOAJNPUYnUB3QJs8imd4+1J7drkWkDUNlnjcsrdQ0ab\nmixmrVmxvEERtQUMAFKcJcsXNBcUdy5Wt+nTTTZbTI7j7akt4CggUpy5s3otvVGLLWfFOvqCcUQA\nzwBIBcy9nGLp8tC2XEzOkReMI6rHMwBSnLn3G7b0E72pT+n1/QO87SPJjAFAijP3coolN6YH7LOY\nnCMuGEdUjwFAiqm/ccmu/+1C6ZVS5J/LB2B8+YKWXHc39imdq2YScR4AKaSpkT+ZezLh3dEbjzz0\niNEG3dIb0xtjahx/mCYMFaKCM3zJoXEiGKlWayZSWeNGLcZmDod0CkFmSabNZvhy+QiyFwYAqdb6\nT9aj2K+4yd91udIFifGJNq+hqbOJjPwMm83w5fIRZE9cDppUy9IOXVtoqn/Aln0D9riLGZElGACk\nCLVMpLp7FI8tg4kdz6Q2DABShFpvXGLLYFLDWQ/RnRgApBg1TqSyZTCp5ayHqB47gYmaYI2RRsae\n1xrDWImaw1FARCpkq3AhuhMDgIhIUhwGSkRERjEAiIgkxQAgIpKUYgGwePFihIWFISIiAo8++ihK\nSkqUKoWISEqKBcCoUaNw+vRpnDp1Cn369EFycrJSpRARSUmxAIiNjYWT062XHzJkCPLz85UqhYhI\nSqroA9i8eTPGjRundBlERFKx6U3hY2NjceXKlUY/f+mllzB+/HgAQFJSEtzc3DB9+nSjz7Ny5UrD\n91qtFlqt1tqlkgPgWvpExul0Ouh0Ooseo+hEsJSUFLz33nvYt28fPDw8mtyHE8EI4Fr6RJZS9USw\ntLQ0rF27Ftu3bzfa+BPV41r6RNanWAAkJiairKwMsbGxiIyMxPz585UqhRwA19Insj6b9gGYcv78\neaVemhyQqbX0RwSMsHM1RG2DKkYBETWHa+kTWR8DgByCWu8gRuTIuBw0ORSupU9kHt4PgIhIUqoe\nBkpERMpiABARSYoBQEQkKQYAEZGkGABERJJiABARSYoBQEQkKQYAEZGkGABERJJiABARSYoBQEQk\nKQYAEZGkGABERJJiABARSYoBQEQkKQYAEZGkGABERJJiABARSYoBQEQkKQYAEZGkGABERJJiABAR\nSYoBQEQkKQYAEZGkGABERJJiABARSYoBQEQkKQYAEZGkGABERJJiABARSYoBQEQkKcUD4NVXX4WT\nkxOuX7+udClERFJRNADy8vKwZ88e9OrVS8kyHIZOp1O6BNXgsbiNx+I2HgvLKBoATz/9NNasWaNk\nCQ6F/7hv47G4jcfiNh4LyygWANu3b4e/vz8GDBigVAlERFJzseWTx8bG4sqVK41+npSUhOTkZOze\nvdvwMyGELUshIqK7aIQCLe/PP/+Mhx9+GO3btwcA5Ofno2fPnkhPT4evr2+DfUNCQpCdnW3vEomI\nHFpwcDCysrJM7qNIANwtKCgIx48fR+fOnZUuhYhIGooPAwUAjUajdAlERNJRxRkAERHZnyrOAMzF\nSWPA4sWLERYWhoiICDz66KMoKSlRuiS7S0tLQ79+/RAaGorVq1crXY5i8vLyEB0djf79++Pee+/F\nxo0blS5JUbW1tYiMjMT48eOVLkVRxcXFmDRpEsLCwhAeHo5jx44Z3ddhAoCTxm4ZNWoUTp8+jVOn\nTqFPnz5ITk5WuiS7qq2txYIFC5CWloYzZ87g448/xtmzZ5UuSxGurq5Yt24dTp8+jWPHjmHTpk3S\nHgsA2LBhA8LDw6W/pLxw4UKMGzcOZ8+exY8//oiwsDCj+zpMAHDS2C2xsbFwcrr1ZxsyZAjy8/MV\nrsi+0tPTERISgsDAQLi6uiI+Ph7bt29XuixF+Pn5YeDAgQCAjh07IiwsDJcuXVK4KmXk5+dj586d\nmDNnjtRDyktKSnDo0CHMmjULAODi4gIvLy+j+ztEAHDSWNM2b96McePGKV2GXV28eBEBAQGGbX9/\nf1y8eFHBitQhJycHJ0+exJAhQ5QuRRFPPfUU1q5da/hwJKsLFy6ga9eumDlzJu6//37MnTsXFRUV\nRvdXzdGKjY3Ffffd1+jrq6++QnJyMlatWmXYt60nvLFj8fXXXxv2SUpKgpubG6ZPn65gpfYn++l9\nU8rKyjBp0iRs2LABHTt2VLocu9uxYwd8fX0RGRnZ5tuG5tTU1ODEiROYP38+Tpw4gQ4dOuDll182\nur9NZwJbYs+ePU3+/Oeff8aFCxcQEREB4NapXlRUVJOTxtoKY8eiXkpKCnbu3Il9+/bZqSL16Nmz\nJ/Ly8gzbeXl58Pf3V7AiZVVXV2PixIl4/PHHMWHCBKXLUcSRI0fw1VdfYefOnaiqqkJpaSmeeOIJ\npKamKl2a3fn7+8Pf3x+DBw8GAEyaNMlkAEA4mMDAQHHt2jWly1DMrl27RHh4uCgoKFC6FEVUV1eL\n3r17iwvVIcsNAAAD9ElEQVQXLoibN2+KiIgIcebMGaXLUkRdXZ1ISEgQixYtUroU1dDpdCIuLk7p\nMhT1+9//XmRkZAghhFixYoV49tlnje6rmjMAc8l+CSAxMRF6vR6xsbEAgKFDh+LNN99UuCr7cXFx\nwRtvvIHRo0ejtrYWs2fPNjnKoS07fPgwPvroIwwYMACRkZEAgOTkZIwZM0bhypQlexvx+uuv47HH\nHoNer0dwcDA++OADo/tyIhgRkaRU0wlMRET2xQAgIpIUA4CISFIMACIiSTEAiIgkxQAgIpIUA4CI\nSFIMAKJWyMnJwX333ad0GUQtwgAgIpIUA4Ck8P333yMiIgI3b95EeXk57r33Xpw5c6bRftOmTcPO\nnTsN2zNmzMDnn3+O3NxcPPTQQ4iKikJUVBSOHj3a6LEpKSlITEw0bMfFxeHgwYMAgN27d2PYsGGI\niorClClTUF5eDgB47rnn0L9/f0RERGDx4sXWfttEJjncWkBELTF48GD86U9/wtKlS1FZWYmEhASE\nh4c32m/q1KnYtm0bxo0bB71ej/379+Odd95BXV0d9uzZA3d3d5w/fx7Tp0/H999/b/I1NRoNNBoN\nCgsLkZSUhH379qFdu3ZYvXo1XnvtNfz973/Hl19+iXPnzgEASktLbfLeiYxhAJA0li9fjkGDBqFd\nu3Z4/fXXm9xnzJgxWLhwIfR6PXbt2oWRI0fC3d0dJSUlWLBgAU6dOgVnZ2dkZmaa9ZpCCBw7dgxn\nzpzBsGHDAAB6vR7Dhg2Dl5cXPDw8MHv2bMTFxSEuLs5q75XIHAwAkkZhYSHKy8tRW1uLyspKtG/f\nvtE+Hh4e0Gq1+Pbbb7Ft2zZMmzYNALBu3Tp0794dW7ZsQW1tLTw8PBo91sXFBXV1dYbtqqoqw/ex\nsbHYunVro8ekp6dj3759+Oyzz/DGG29IeY8HUg77AEgaTz75JF588UVMnz4dS5YsMbrf1KlTsXnz\nZhw6dMiwtHJpaSn8/PwAAKmpqaitrW30uMDAQPzwww8QQiAvLw/p6enQaDR48MEHcfjwYWRnZwMA\nysvLcf78eZSXl6O4uBhjx47Fa6+9hlOnTtngXRMZxzMAkkJqairc3d0RHx+Puro6DBs2DDqdDlqt\nttG+o0aNQkJCAiZMmAAXl1v/RebPn4+JEyciNTUVY8aMaXDrxfr150eMGIGgoCCEh4cjLCwMUVFR\nAAAfHx+kpKRg2rRpuHnzJoBbt/Ts1KkT/vznP6OqqgpCCKxbt87GR4GoId4PgIhIUrwEREQkKV4C\nIin99NNPeOKJJxr8zMPDo8nx/URtFS8BERFJipeAiIgkxQAgIpIUA4CISFIMACIiSTEAiIgk9X+/\nFRna4XPQqAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106c2c710>"
       ]
      }
     ],
     "prompt_number": 239
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(transformed_samples[0:20,0], transformed_samples[0:20,1], 'o', markersize=7, color='blue', alpha=0.5, label='class1')\n",
      "plt.plot(transformed_samples[20:40,0], transformed_samples[20:40,1], '^', markersize=7, color='red', alpha=0.5, label='class2')\n",
      "\n",
      "plt.xlabel('x_values')\n",
      "plt.ylabel('y_values')\n",
      "plt.xlim([-4,6])\n",
      "plt.ylim([-4,6])\n",
      "plt.legend()\n",
      "plt.title('Transformed samples with class labels')\n",
      "\n",
      "plt.draw()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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wZKOs7aI65ysiXbXYXEBDhw7FESOdA2YAmKaamhok//WviKjXUKlqapDq7a1x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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1059e4ef0>"
       ]
      }
     ],
     "prompt_number": 240
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Using the `PCA()` function from the `matplotlib.mlab` library"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from matplotlib.mlab import PCA\n",
      " \n",
      "results = PCA(samples) \n",
      "\n",
      "#this will return an array of the data projected into PCA space\n",
      "print(results.Y) "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[[-1.76464879 -1.13653839  0.05852699]\n",
        " [ 1.43905455  0.29026097  0.50516462]\n",
        " [ 0.066269   -0.23806384 -0.08537818]\n",
        " [-1.53123575  0.41198791 -1.05293767]\n",
        " [-1.15593938 -0.3077984  -1.02719971]\n",
        " [ 0.56045658 -0.74950164 -0.3173577 ]\n",
        " [ 0.27663747  0.20433893  1.05811821]\n",
        " [-0.47389475 -0.25446784 -0.48637399]\n",
        " [ 0.30711377  1.38755191  0.07657736]\n",
        " [-1.37368069 -0.25220715  0.59540703]\n",
        " [ 0.11851677 -0.21225391  0.83147638]\n",
        " [-1.17361337 -0.52003766 -0.27515812]\n",
        " [-2.44649206  0.64476095 -0.13377678]\n",
        " [ 0.10518897  0.70864667  2.07263704]\n",
        " [-0.31345039  1.06690754 -1.04050878]\n",
        " [-0.65373151 -0.39678731  0.47584995]\n",
        " [-0.87074027 -0.4868642  -0.18572844]\n",
        " [-1.37630964 -0.18654887 -0.2957547 ]\n",
        " [-0.8783789   2.24048441  0.6296909 ]\n",
        " [-0.86779196 -1.27909097 -0.1582361 ]\n",
        " [-0.22943285 -0.65680342  1.39947908]\n",
        " [ 1.73463062 -0.08843235 -2.0500832 ]\n",
        " [ 0.95138683 -0.54280409 -0.00405028]\n",
        " [-1.21415092  0.37774702 -0.2521997 ]\n",
        " [ 2.4439545   0.0993283  -0.59113121]\n",
        " [ 0.62797432 -0.92559277  0.18154456]\n",
        " [-0.63764945 -1.49037223  0.06893655]\n",
        " [ 0.37700722 -2.09780437  1.78067087]\n",
        " [ 1.02027964 -0.06232996 -0.21243173]\n",
        " [ 1.96726016 -0.07766722 -0.01246942]\n",
        " [-1.19190493  1.59098606 -0.37607617]\n",
        " [-0.08164937  2.10524681 -0.40572706]\n",
        " [ 1.45362963 -0.21623914 -1.80514398]\n",
        " [-0.71910161 -1.32085344 -1.5597507 ]\n",
        " [ 0.65835645 -0.05315859 -0.51250722]\n",
        " [ 0.50411734  1.84012533  0.41067921]\n",
        " [ 1.24858026 -1.22240105  0.51092084]\n",
        " [ 0.72659744  0.32895233  0.70570308]\n",
        " [ 0.58989275  0.77214999  1.86235804]\n",
        " [ 1.77689231  0.70514369 -0.38375984]]\n"
       ]
      }
     ],
     "prompt_number": 241
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(results.Y[20:40,0], results.Y[20:40,1], 'o', markersize=7, color='blue', alpha=0.5, label='class1')\n",
      "plt.plot(results.Y[0:20,0], results.Y[0:20,1], '^', markersize=7, color='red', alpha=0.5, label='class2')\n",
      "\n",
      "plt.xlabel('x_values')\n",
      "plt.ylabel('y_values')\n",
      "plt.xlim([-4,6])\n",
      "plt.ylim([-4,6])\n",
      "plt.legend()\n",
      "plt.title('Transformed samples with class labels')\n",
      "\n",
      "plt.draw()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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hpn0ODx+MefPCzK5QNfcnFGr7dBoHEB8fj23btiEpKQlKpRKzZ8/Gt99+a+zY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\n2yxfvhx2dnaYNm2ahJGantw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       "text": [
        "<matplotlib.figure.Figure at 0x105e96518>"
       ]
      }
     ],
     "prompt_number": 242
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}